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Finding the Fourth Proportional to 172,442.79, 258,664.28 and 47,783.79

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Solution

The fourth proportional to 172,442.79, 258,664.28 and 47,783.79 is: 71,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,442.79 : 258,664.28 = 47,783.79 : x
  2. Step 2: Convert to fraction form
    172,442.79/258,664.28 = 47,783.79/x
  3. Step 3: Cross multiply
    172,442.79x = 258,664.28 × 47,783.79
  4. Step 4: Simplify right side
    172,442.79x = 12,359,959,397.10
  5. Step 5: Solve for x
    x = 12,359,959,397.10/172,442.79
  6. Step 6: Final answer
    x = 71,675.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.